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Finding the Fourth Proportional to 399,857.87, 599,817.71 and 133,619.32

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Solution

The fourth proportional to 399,857.87, 599,817.71 and 133,619.32 is: 200,439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,857.87 : 599,817.71 = 133,619.32 : x
  2. Step 2: Convert to fraction form
    399,857.87/599,817.71 = 133,619.32/x
  3. Step 3: Cross multiply
    399,857.87x = 599,817.71 × 133,619.32
  4. Step 4: Simplify right side
    399,857.87x = 80,147,234,866.37
  5. Step 5: Solve for x
    x = 80,147,234,866.37/399,857.87
  6. Step 6: Final answer
    x = 200,439.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.